Q. There are an infinite number of points on Line A. There are an infinite number of points on Line B. So, why is Line B longer?
Line A _____________
Line B _________________________
Q. There are an infinite number of points on Line A. There are an infinite number of points on Line B. So, why is Line B longer?
Line A _____________
Line B _________________________
Well gee, Sysop… if you are speaking about the length of the line on a computer monitor, then they are not the same length because pixels are the same size and line B must have more of them.
But if you are talking about a line in theory, then since ∞ = ∞, then either the points on line B are either “fatter” or the space between the points are greater…. Though the number of points on each line is equal, there are points on line B that aren’t on line A.